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Finding the Fourth Proportional to 27,205.44, 37,543.76 and 17,774

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Solution

The fourth proportional to 27,205.44, 37,543.76 and 17,774 is: 24,528.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,205.44 : 37,543.76 = 17,774 : x
  2. Step 2: Convert to fraction form
    27,205.44/37,543.76 = 17,774/x
  3. Step 3: Cross multiply
    27,205.44x = 37,543.76 × 17,774
  4. Step 4: Simplify right side
    27,205.44x = 667,302,790.24
  5. Step 5: Solve for x
    x = 667,302,790.24/27,205.44
  6. Step 6: Final answer
    x = 24,528.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.